On the computation of inertial manifolds Academic Article uri icon

abstract

  • A modified Galerkin (the "Euler-Galerkin") algorithmj for the computational of inertial manifolds is described and applied to reaction diffusion and the Kuramoto-Sivashinsky (KS) equation. In the context of the (KS) equation, a low-dimensional Euler-Galerkin approximation (n = 3) is distinctly superior to the traditional Galerkin of the same dimension, and comparable to a traditional Galerkin of a much higher dimension (n = 16). © 1988.

altmetric score

  • 3

author list (cited authors)

  • Foias, C., Jolly, M. S., Kevrekidis, I. G., Sell, G. R., & Titi, E. S.

citation count

  • 185

publication date

  • September 1988